To solve for [tex]\(y\)[/tex] in terms of [tex]\(x\)[/tex] in the equation [tex]\(x - 4y = 8\)[/tex], follow these steps:
1. Isolate the term involving [tex]\(y\)[/tex]:
[tex]\[
x - 4y = 8
\][/tex]
To isolate the term involving [tex]\(y\)[/tex], subtract [tex]\(x\)[/tex] from both sides of the equation:
[tex]\[
-4y = 8 - x
\][/tex]
2. Solve for [tex]\(y\)[/tex]:
Next, divide both sides of the equation by [tex]\(-4\)[/tex] to solve for [tex]\(y\)[/tex]:
[tex]\[
y = \frac{8 - x}{-4}
\][/tex]
3. Simplify the expression:
Simplify the fraction by dividing each term in the numerator by [tex]\(-4\)[/tex]:
[tex]\[
y = \frac{8}{-4} + \frac{-x}{-4}
\][/tex]
Simplifying each term:
[tex]\[
y = -2 + \frac{x}{4}
\][/tex]
Therefore, the expression for [tex]\(y\)[/tex] in terms of [tex]\(x\)[/tex] is:
[tex]\[
y = -2 + \frac{x}{4}
\][/tex]
